Adversarial Backpropagation Burning (Backprop-Burn) and Zero-Knowledge Non-Ingestion Proofs (zkVM): Deterministic Physical-Layer Interlocks, Latent Metastasis, and Pre-emptive Patent Invalidation Against Unauthorized AI Exploitation (Definitive Edition)

Contemporary intellectual property governance and ex-post judicial remedies fail systematically against hyperscale foundation models that exploit procedural delays to achieve irreversible weight-space ingestion. This technical monograph formalizes a deterministic, multi-layered physical-layer defense architecture that renders unauthorized artificial intelligence exploitation computationally self-destructive and legally impossible. First, we formalize the mathematics of "Adversarial Backpropagation Burning" (Backprop-Burn). Addressing gradient clipping and training-loss spike detection, we introduce Directional Steering along orthogonal subspaces (v_⊥) coupled with "Latent Metastasis" (Slow-Burn Poisoning): a mechanism that maintains nominal training loss (Lₜᵣₐᵢₙ) while progressively distorting the Hessian curvature (∇² L) of the latent manifold. While ultra-scale pre-training across trillions of tokens induces statistical gradient dilution, we prove that this directional perturbation exhibits extreme, catastrophic potency against continuous fine-tuning, domain-specific adaptation, and retrieval-augmented generation (RAG) pipelines, causing irreversible orthogonal collapse when unlearned weights are deployed. Second, to resolve computational bottlenecks in cryptographic corpus verification, we formulate an automated market-access gating framework utilizing Zero-Knowledge Virtual Machines (zkVM) integrated with Hierarchical Cryptographic Accumulators (Merkle Mountain Ranges and Cuckoo Filters), compressing non-membership verification complexity to logarithmic time (O(log² N)). Third, we fulfill statutory enablement requirements (35 U.S.C. § 112, EPC Art. 83, Japan Patent Act Art. 36) by disclosing complete algorithmic pseudo-code, operational physical boundaries (frequency thresholds, FP16 overflow ceilings), and concrete hardware implementations across optoelectronic circuit breakers and optical interlocks. This "Prior Art Minefield" deployed under CERN Zenodo's immutable timestamps automatically invalidates hostile corporate patent filings at zero defensive cost. This treatise proves that authentic intellectual sovereignty resides not in linguistic litigation, but in deterministic computational and physical-layer interlocks